Sales Strategy A representative of a book publishing company has to cover three

Chapter 10, Problem 25

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Sales Strategy A representative of a book publishing company has to cover three universities, and U3 U . 1 , U2 , She never sells at the same university in successive months. If she sells at university then the next month she sells at However, if she sells at either or then the next month she is three times as likely to sell at as at the other university. (a) Show that this situation forms a Markov chain and find the transition matrix that models it. (b) If in her first month on the job she has an initial probability vector what will her probability distribution be next month? (c) In the long run how often does she sell at each university?

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